﻿<?xml version="1.0" encoding="utf-8" ?>
<Samples xmlns="" >

  <Category Title="Approximate">

    <Sample Title="Bisection Method" src="/Data/Approximation/MethodBisectin.jpg" >
      <Syntax>
        <![CDATA[ 
	public Bisection(FunctionOne f,double Left, double Right, double epsilon)
        {
            bool blnError = false;
            double c;
            do
            {
                c = (Left + Right) / 2;
                if (f(Left) * f(c) < 0)
                    Right = c;
                else
                    Left = c;
                if (f(c) == 0)
                {
                    blnError = (f(c - epsilon / 2) * f(c + epsilon / 2) < 0) ? false : true;
                    break;
                }
            }
            while ((f(c)) > epsilon || (Right - Left) > epsilon);
            if (blnError == false)
            {
                result = c;
            }
        }]]>
      </Syntax>
    </Sample>

    <Sample Title="Chord Method" src="/Data/Approximation/MethoHord.jpg" >
        <Syntax>
        <![CDATA[
 	public Сhord(FunctionOne function,FunctionOne df, double Left, double Right, double x0, double epsilon)
        {
            double xl;
            const double m = 2.41064f;
            const double M = 20.0828f;
            double xk;
            xk = x0 - (function(x0) / df(x0));
            do
            {
                xl = xk - function(xk) * (xk - x0) / (function(xk) - function(x0));
                x0 = xk;
                xk = xl;
            }
            while (Math.Abs(xk - x0) > Math.Sqrt(Math.Abs(2f * epsilon * m / M)));
            result = x0;
        }
]]>
       </Syntax>
   </Sample>

    <Sample Title="Iteration Method" src="/Data/Approximation/MethodBisectin.jpg" >
      <Syntax>
        <![CDATA[Iteration Method]]>
      </Syntax>
    </Sample>

    <Sample Title="Newton Method" src="/Data/Approximation/MethodBisectin.jpg" >
      <Syntax>
        <![CDATA[Newton Method]]>
      </Syntax>
    </Sample>

  </Category>


  <Category Title="Differential Equations">
    <Sample Title="Euler Simple" src="/Data/DifferentialEquations/DirrefentialEquations.jpg">
      <Syntax>
        <![CDATA[Euler Simple]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Euler Modified" src="/Data/DifferentialEquations/DirrefentialEquations.jpg">
      <Syntax>
        <![CDATA[Euler Modified]]>
      </Syntax>
    </Sample>
    <Sample  	Title="Euler Corrected"  src="/Data/DifferentialEquations/DirrefentialEquations.jpg">
      <Syntax>
        <![CDATA[Euler Corrected]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Runge-Kutta4" src="/Data/DifferentialEquations/DirrefentialEquations.jpg">
      <Syntax>
        <![CDATA[Runge-Kutta4]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Integration">
    <Sample  Title="Chebishev" src="/Data/Integration/AllMethods.JPG">
      <Syntax>
        <![CDATA[Chebishev]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Simpson" src="/Data/Integration/AllMethods.JPG">
      <Syntax>
        <![CDATA[Simpson]]>
      </Syntax>
    </Sample>
    <Sample  	Title="Simpson2"  src="/Data/Integration/AllMethods.JPG">
      <Syntax>
        <![CDATA[Simpson2]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Trapezium" src="/Data/Integration/AllMethods.JPG">
      <Syntax>
        <![CDATA[Trapezium]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Interpolation">
    <Sample  Title="Lagrange Interpolator" src="/Data/Interpolation/AllMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Newton Interpolator" src="/Data/Interpolation/AllMethods.JPG">
      <Syntax>
        <![CDATA[  TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample  	Title="Neville Interpolator"  src="/Data/Interpolation/AllMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Spline Interpolator" src="/Data/Interpolation/AllMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Barycentric Interpolator" src="/Data/Interpolation/AllMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Linear Systems">
    <Sample  Title="Gaus" src="/Data/LinearSystems/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Zeidel" src="/Data/LinearSystems/allMethods.JPG">
      <Syntax>
        <![CDATA[  TEST INFORMATION]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Non Linear equalization">
    <Sample  Title="Half Division" src="/Data/NonLinear/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Hord Metod" src="/Data/NonLinear/allMethods.JPG">
      <Syntax>
        <![CDATA[  TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample  	Title="Newton Metod" src="/Data/NonLinear/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Secant Metod" src="/Data/NonLinear/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Matrix Algebra">
    <Sample  Title="Matrix Determinant" src="/Data/MatrixAlgebra/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Decomposition of matrix LU" src="/Data/MatrixAlgebra/allMethods.JPG">
      <Syntax>
        <![CDATA[  TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample  	Title="Matrix Inverse LU"  src="/Data/MatrixAlgebra/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Optimizing">
    <Sample  Title="Brentopt" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Golden Section" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[  TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample  	Title="Pijavsky" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Statistics">
    <Sample  Title="Correlation Pearson" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample 	Title="Correlation Spearmans Rank" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[  TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample  	Title="Descriptive Statistics A Dev"  src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Descriptive Statistics Median" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Descriptive Statistics Moments" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample   	Title="Descriptive Statistics Percentile" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
  </Category>


  <Category Title="Random Generator">
    <Sample  Title="Method 1" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample Title="Method 2" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[  TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample Title="Method 3" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
    <Sample  Title="Method 4" src="/Data/Optimizing/allMethods.JPG">
      <Syntax>
        <![CDATA[TEST INFORMATION]]>
      </Syntax>
    </Sample>
  </Category>


</Samples>
